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Finding the Fourth Proportional to 878,710,792, 1,212,620,895.84 and 487,633,149.76

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Solution

The fourth proportional to 878,710,792, 1,212,620,895.84 and 487,633,149.76 is: 672,933,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,710,792 : 1,212,620,895.84 = 487,633,149.76 : x
  2. Step 2: Convert to fraction form
    878,710,792/1,212,620,895.84 = 487,633,149.76/x
  3. Step 3: Cross multiply
    878,710,792x = 1,212,620,895.84 × 487,633,149.76
  4. Step 4: Simplify right side
    878,710,792x = 591,314,146,903,251,968
  5. Step 5: Solve for x
    x = 591,314,146,903,251,968/878,710,792
  6. Step 6: Final answer
    x = 672,933,748.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.